-6y+17=3(y-3)-1

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Solution for -6y+17=3(y-3)-1 equation: 


Simplifying
-6y + 17 = 3(y + -3) + -1

Reorder the terms:
17 + -6y = 3(y + -3) + -1

Reorder the terms:
17 + -6y = 3(-3 + y) + -1
17 + -6y = (-3 * 3 + y * 3) + -1
17 + -6y = (-9 + 3y) + -1

Reorder the terms:
17 + -6y = -9 + -1 + 3y

Combine like terms: -9 + -1 = -10
17 + -6y = -10 + 3y

Solving
17 + -6y = -10 + 3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3y' to each side of the equation.
17 + -6y + -3y = -10 + 3y + -3y

Combine like terms: -6y + -3y = -9y
17 + -9y = -10 + 3y + -3y

Combine like terms: 3y + -3y = 0
17 + -9y = -10 + 0
17 + -9y = -10

Add '-17' to each side of the equation.
17 + -17 + -9y = -10 + -17

Combine like terms: 17 + -17 = 0
0 + -9y = -10 + -17
-9y = -10 + -17

Combine like terms: -10 + -17 = -27
-9y = -27

Divide each side by '-9'.
y = 3

Simplifying
y = 3

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